Divide a 6-Digit Number by a 2-Digit Number
To divide a six-digit number by a two-digit number (for example 365420 ÷ 76), follow these steps:
- Place the divisor (76) before the division bracket and place the dividend (365420) under it.
76)365420
- Examine the first two digits of the dividend (36). The number 36 is smaller than 76 so it can't
be divided by 76 to produce a whole number. Next take the first three digits of the
dividend (365) and determine how many 76's it contains. The number 365 contains
four 76's (76*4=304) but not five (76*5=380). Place the 4 above the division bracket directly above the 5.
4
76)365420
- Multiply the 4 by 76 and place the result (304) below the 365 of the dividend.
4
76)365420
304
- Draw a line under the 304 and subtract it from 365 (365-304 = 61). Bring down
the 4 from the 365420 and place it to the right of the 1 in 61.
4
76)365420
304
614
- Divide 614 by 76 and place that answer above the division bracket to the right of the 4.
48
76)365420
304
614
- Multiply the 8 of the quotient by the divisor (76) to get 608 and place this
below the 614. Draw a line under the 608 and subtract 608 from 614 to get an answer
of 6. Bring down the 2 from the 365420 and place it to the right of the 6.
48
76)365420
304
614
608
62
- Since 62 is smaller than the divisor (76) place a zero (0) above the division
bracket next to the 8. Bring down the 0 from the 365420 and place it to the right of the 2 in 62 (620).
480
76)365420
304
614
608
620
- Divide 620 by 76 and place that answer above the division bracket to the right of the 0.
4808
76)365420
304
614
608
620
- Multiply the 8 of the quotient by the divisor (76) to get 608 and place this
below the 620. Draw a line under the 608 and subtract 608 from 620 to get an answer
of 12. The number 12 is called the "remainder" and indicates that there were 12 left over.
4808 R12
76)365420
304
614
608
620
608
12
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